ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos


Right Triangles and Trigonometry Videos 37 videos

Tangent Half-Angle Formula
1362 Views

Mosquitos need their caffeine, just like the rest of us. Wouldn't think zipping around and stinging people all day long sap your energy?

ACT Math 1.2 Trigonometry
274 Views

ACT Math Trigonometry Drill 1, Problem 2. Can you find the tangent?

ACT Math 1.3 Trigonometry
274 Views

ACT Math: Trigonometry Drill 1, Problem 3. Can you find the cosine?

See All

ACT Math 5.3 Trigonometry 192 Views


Share It!


Description:

ACT Math: Trigonometry Drill 5, Problem 3. What is the length of side x?

Language:
English Language

Transcript

00:02

Here's your shmoop du jour...

00:05

cos(A) = 3/7. What is the length of side x?

00:09

And here are your options...

00:14

Okay, so we know the cosine of angle A...

00:16

and we need to use it to find the length of side x...

00:20

The cosine of an angle is equal to the adjacent side over the hypotenuse.

00:24

If the adjacent side is 3 and the hypotenuse is 7, we can use the Pythagorean theorem to

00:29

solve for the missing leg, x.

00:37

So we can just plug our numbers into this formula,

00:39

Three squared plus x squared equals seven squared.

00:43

9 plus x squared equals 49.

00:49

x squared equals 40.

00:53

x equals the square root of 40.

00:55

The square root of 40 is equal to 2 root 10, and there you have it...

00:59

...option C. That's the way to go.

Related Videos

Inequalities in Number Lines
3229 Views

ACT Math: Coordinate Geometry Drill 1, Problem 1. Which inequality is expressed by the number line?

ACT Math 3.1 Intermediate Algebra
1955 Views

ACT Math: Intermediate Algebra: Drill 3, Problem 1. Find the fifth number in the series.

ACT Math 3.1 Plane Geometry
2559 Views

ACT Math: Plane Geometry Drill 3, Problem 1. What is the area of the trapezoid shape in the video?

Surface Area of Cylinders
14741 Views

Haven't you always wondered how much cardboard it takes to encase a trunk warmer for your pet elephant?

Perimeter of Irregular Shapes
4864 Views

Want to figure out the area and perimeter of irregular shapes? Break them down into regular shapes. For example, a flower can be broken down into s...